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The bridge and torch problem (also known as The Midnight Train [1] and Dangerous crossing [2]) is a logic puzzle that deals with four people, a bridge and a torch. It is in the category of river crossing puzzles , where a number of objects must move across a river, with some constraints.
By way of specifying the logical task unambiguously, solutions involving either reaching an island or mainland bank other than via one of the bridges, or; accessing any bridge without crossing to its other end; are explicitly unacceptable. Euler proved that the problem has no solution.
Well-known river-crossing puzzles include: The fox, goose, and bag of beans puzzle, in which a farmer must transport a fox, goose and bag of beans from one side of a river to another using a boat which can only hold one item in addition to the farmer, subject to the constraints that the fox cannot be left alone with the goose, and the goose cannot be left alone with the beans.
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The two solutions with the vertical axis denoting time, and brown, grey, green and beige paths denoting the wolf, goat, cabbage and boat, respectively The first step that must be taken is to let the goat go across the river, as any other actions will result in the goat or the cabbage being eaten.
Cable-stayed bridge and Suspension bridge: 1,408 m (4,619 ft) Yavuz Sultan Selim Bridge, [2] Istanbul: Cantilever bridge: 549 m (Quebec bridge) 1042.6 m (Forth Bridge) Cantilever spar cable-stayed bridge: Clapper bridge: Covered bridge: Girder bridge: Continuous span girder bridge Integral bridge: Extradosed bridge: 1,920 m Arrah–Chhapra ...
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In 1928 a bridge was constructed to carry the railway line and road from Tábor into Bechyně. Previously the line had stopped on the other side of a deep gorge from the town and access was by way of a steep road and narrow bridge. The rail line runs in the roadway for 100 m and traffic stopped by lights as for a grade crossing. [23]